Jain tradition does not have a single “current Acharya.” In Jainism, each sangh/sect and its gaccha appoints its own Acharyas. Here are the widely recognized current leaders by major traditions:

• Śvetāmbara Terapanth: Acharya Mahashraman (the 11th Acharya, leading since 2010).
• Śvetāmbara Sthanakvasi (Vardhman Shraman Sangh): Acharya Shivmuni Ji Maharaj (active as the head/common guide in the sangh).
• Śvetāmbara Murtipūjak lineages: different gacchas have their own Acharyas; one commonly cited name in recent lists is Acharya Vijay Nityanand Surishwar Ji Maharaj (varies by gaccha).
• Digambara traditions: multiple lineages with their own Acharyas; examples given in contemporary sources include Acharya Vishuddha Sagar Ji Maharaj and other lineage heads (there are several, varying by sub-tradition).

If you tell me which sangh or gaccha you’re asking about (Terapanth, Sthanakvasi, Murtipujak, Digambara, etc.), I can name the exact current Acharyā for that lineage as of today. You can read more here